Along, thin solenoid has 700 turns per meter and radius 2.50 cm. the current in the solenoid is increasing at a uniform rate of 36.0 a/s . a. what is the magnitude of the induced electric field at a point near the center of the solenoid? b. what is the magnitude of the induced electric field at a point 0.500 cm from the axis of the solenoid?

To solve this problem it is necessary to apply the concepts related to the magnetic field in a solenoid.

By definition we know that the magnetic field is,

At the same tome we know that the induced voltage is defined as

Replacing

PART A) Substituting with our values we have that

Therefore there is not induced electric field at the center of solenoid.

PART B) Replacing the radius for 0.5cm

Therefore the magnitude of the induced electric field at a point 0.5cm is

total distance travelled = 60 miles

total time taken =1.5 hours

average speed = total distance / total time

60 / 1.5

= 40

therefore, average speed = 40 m/h

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